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Finding the Fourth Proportional to 6,132.22, 8,457.90 and 3,892.15

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Solution

The fourth proportional to 6,132.22, 8,457.90 and 3,892.15 is: 5,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.22 : 8,457.90 = 3,892.15 : x
  2. Step 2: Convert to fraction form
    6,132.22/8,457.90 = 3,892.15/x
  3. Step 3: Cross multiply
    6,132.22x = 8,457.90 × 3,892.15
  4. Step 4: Simplify right side
    6,132.22x = 32,919,415.49
  5. Step 5: Solve for x
    x = 32,919,415.49/6,132.22
  6. Step 6: Final answer
    x = 5,368.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.